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Evaluate int(dx)/((1+x-x^(2)))....

Evaluate `int(dx)/((1+x-x^(2)))`.

A

`(1)/(sqrt(5))log|(sqrt(5)+1-2x)/(sqrt(5)-1+2x)|+c`

B

`(1)/(sqrt(5))log|(sqrt(5)-1+2x)/(sqrt(5)+1-2x)|+c`

C

`(1)/(2sqrt(5))log|(sqrt(5)+1-2x)/(sqrt(5)-1+2x)|+c`

D

`(1)/(2sqrt(5))log|(sqrt(5)-1+2x)/(sqrt(5)+1-2x)|+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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